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Finding the Fourth Proportional to 10,235.85, 15,353.77 and 2,840.31

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Solution

The fourth proportional to 10,235.85, 15,353.77 and 2,840.31 is: 4,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.85 : 15,353.77 = 2,840.31 : x
  2. Step 2: Convert to fraction form
    10,235.85/15,353.77 = 2,840.31/x
  3. Step 3: Cross multiply
    10,235.85x = 15,353.77 × 2,840.31
  4. Step 4: Simplify right side
    10,235.85x = 43,609,407.39
  5. Step 5: Solve for x
    x = 43,609,407.39/10,235.85
  6. Step 6: Final answer
    x = 4,260.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.